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the perimeter of the rectangle is 310ft. the width is 35ft less than the length. Find the width and length of the rectangle.
If there 5 sections of Discrete Math with a total enrollment of 31 students, what is the smallest possible number of students in the section with the largest enrollment?
Find all extreme values of f and the values of x at which they occur. Find the interval(s) on which the function f is concave up?
Billy likes to go cycling. His bike has wheels of a diameter 75. He has invented a counter for his bike, which counts the revolutions the wheel makes. One day the counter shows 370 revolutions. How far has billy cycled?
Let f be a function given by-Is there a function g: R ---> R such that g'=f? Be careful applying definition of the derivative
Find the Fourier series expansions of f(x) = Co + C1x^2 with respect to the following two orthonormal bases on the interval [0,L] (L>0)
Write Boolean expression & draw the gate logic diagram & typical PLC logic ladder diagram for a control system wherein a fan is to run only when all of the following conditions are met:
A circular swimming pool has a diameter of 20 m, the sides are 3 m high, and the depth of the water is 2.5 m. How much work (in Joules) is required to pump all of the water over the side? (The acceleration due to gravity is 9.8 m/s^2 and the densi..
A survey of fruit tree growers showed the following: How many grew exactly two of these three? How many fruit tree growers were surveyed?
Calculating the probability from a given ball situation. Six red balls and four blue balls are placed on a container. The probability that the first ball drawn
Cantor's Diagonal Argument, Here we present Cantor's diagonal argument, which proves that the cardinality of the power set 2^S
A set of data whose histogram is bell shaped yields a sample mean and standard deviation of 50 and 4, respectively. Approximately what proportion of observations are.
Evaluate the matrix of transformation
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